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LCC mentioned using dots rather than squares to make the game
more 'one-dimensional'. But let's go even further: use different
colored line segments to represent the pieces and the empty squares.
<p>And for representing a game you could use a layout like the standard
for showing the evolution of a one-dimensional cellular automaton:
write (draw) each successive board position under the previous one.
<p>Not only do you have fun playing one-dimensional games, but you
might just make interesting abstract art!